GCD of 363, 716, 621, 180 Calculator

Given Input numbers are 363, 716, 621, 180

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 363, 716, 621, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 716, 621, 180 is 1.

Therefore, GCD of numbers 363, 716, 621, 180 is 1

Given Input Data is 363, 716, 621, 180

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(363, 716) = 259908

GCD(363, 716) = ( 363 x 716 ) / 259908

GCD(363, 716) = 259908 / 259908

GCD(363, 716) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 621

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 621) = 621

GCD(1, 621) = ( 1 x 621 ) / 621

GCD(1, 621) = 621 / 621

GCD(1, 621) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 363, 716, 621, 180 is 1

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1. What is the GCD of 363, 716, 621, 180?

GCD of 363, 716, 621, 180 is 1

2. Where do I get the detailed procedure to find GCD of 363, 716, 621, 180?

You can find a detailed procedure to find GCD of 363, 716, 621, 180 on our page.

3. How to find GCD of 363, 716, 621, 180 on a calculator?

You can find the GCD of 363, 716, 621, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.